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9638082840 = 2335238342073
BaseRepresentation
bin10001111100111100…
…10111100100011000
3220212200202100010010
420332132113210120
5124214322122330
64232213321520
7460561231611
oct107636274430
926780670103
109638082840
1140a64a0321
121a4b9362a0
13ba7a20bc9
14676072c08
153b621d3b0
hex23e797918

9638082840 has 128 divisors (see below), whose sum is σ = 30535626240. Its totient is φ = 2428732416.

The previous prime is 9638082821. The next prime is 9638082841. The reversal of 9638082840 is 482808369.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9638082840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9638082841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208044 + ... + 250116.

It is an arithmetic number, because the mean of its divisors is an integer number (238559580).

Almost surely, 29638082840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9638082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267813120).

9638082840 is an abundant number, since it is smaller than the sum of its proper divisors (20897543400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9638082840 is a wasteful number, since it uses less digits than its factorization.

9638082840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42193 (or 42189 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 9638082840 is about 98173.7380361978. The cubic root of 9638082840 is about 2128.1237814773.

The spelling of 9638082840 in words is "nine billion, six hundred thirty-eight million, eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 7636 9545 9960 11454 15272 19090 22908 28635 38180 42073 45816 57270 76360 84146 114540 126219 168292 210365 229080 252438 336584 420730 504876 631095 841460 967679 1009752 1262190 1682920 1935358 2524380 2903037 3492059 3870716 4838395 5048760 5806074 6984118 7741432 9676790 10476177 11612148 13968236 14515185 17460295 19353580 20952354 23224296 27936472 29030370 34920590 38707160 41904708 52380885 58060740 69841180 80317357 83809416 104761770 116121480 139682360 160634714 209523540 240952071 321269428 401586785 419047080 481904142 642538856 803173570 963808284 1204760355 1606347140 1927616568 2409520710 3212694280 4819041420 9638082840